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Finding the Third Proportional to 425,868 and 709,778

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Solution

The third proportional to 425,868 and 709,778 is: 1,182,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,868 : 709,778 = 709,778 : x
  2. Step 2: Convert to fraction form
    425,868/709,778 = 709,778/x
  3. Step 3: Cross multiply
    425,868x = 709,778 × 709,778
  4. Step 4: Simplify right side
    425,868x = 503,784,809,284
  5. Step 5: Solve for x
    x = 503,784,809,284/425,868
  6. Step 6: Final answer
    x = 1,182,960.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.